Spinors for Beginners 19: Tensor Product Representations of su(2) [Clebsch-Gordan coefficients]
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Clebsch-Gordan Tables: https://pdg.lbl.gov/2002/clebrpp.pdf
Videos on Clebsch-Gordan Coefficients:
• Deriving Clebsch–Gordan Coefficients ...
• Clebsch–Gordan Coefficients Explained
0:00 - Introduction
2:45 - Direct Sum vs Tensor Product
7:19 - Multi-particle systems
8:27 - Tensor Product of Lie Algebras
12:45 - Tensor product of su(2) reps
15:21 - Eigenvalue Operator
17:39 - Ladder Operators
20:50 - 2x2 = 3+1
24:09 - Casimir Operator
26:24 - Clebsch-Gordan Coefficients
29:28 - 3 and 4 spinor products
32:40 - Weight Diagrams
35:12 - Building tensors using spinors
36:59 - Larger Tensor Product Reps.
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